Unusual patterns on ceiling

I'd say condensation or water spray to do with the tiles being cleaned.
There's a fairly constistant space on the ceiling from the wall to the marks, that'll be the depth of the cleaning / steaming device.

Fizzy beer cans being opened underneath whilst sitting in chair.

(told you not to shake to hard) steam condencing on roof

That's a remarkable phenomenon.

My guess is that your steam cleaning left a droplet of condensation/spray at the centre of each circular mark. This then soaked into the slightly porous ceiling and then spread out transporting stain from the plasterboard outwards and depositing it at the point the water evaporated. 'Coffee mug stains' form in a similar manner.

I'd deal with it by waiting to make sure it's dry, which could take a several months, then slap on a layer of 'one coat stain stop', and then repaint the ceiling.